{
  "abstract": "We study a fractional (in Riemann-Liouville sense) partial differential problem of higher order in the space of fractionally absolutely continuous functions of two variables. We obtain existence of a solution in a non-Lipschitz case applying the Schaeffer fixed point theorem and a fractional multiterm Gronwall lemma for functions of two variables to a nonlinear integral equation.",
  "abstract_shown": true,
  "affiliations": [
    "Univ. of Lodz, Poland"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Dariusz Idczak"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bpqs26hjq73bq.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": "http://ejde.math.txstate.edu/Volumes/2026/57/abstr.html",
  "id": "bpqs26hjq73bq",
  "issns": [
    "1072-6691"
  ],
  "landing_url": "http://ejde.math.txstate.edu/Volumes/2026/57/abstr.html",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "lcc",
      "QA1-939"
    ]
  ],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-01",
  "publisher": "Texas State University",
  "ris": "https://research.draconitic.com/paper/bpqs26hjq73bq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:29Z",
      "native_id": "1dba4ec6438043c391810f88d5367d85",
      "source": "doaj",
      "url": "http://ejde.math.txstate.edu/Volumes/2026/57/abstr.html"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "lcc:QA1-939",
      "subfield": "general"
    }
  ],
  "title": "Fractional multiterm Gronwall lemma for functions of two variables and its application to fractional higher-order systems of hyperbolic type",
  "title_text": "Fractional multiterm Gronwall lemma for functions of two variables and its application to fractional higher-order systems of hyperbolic type",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T13:44:04Z",
  "url": "https://research.draconitic.com/paper/bpqs26hjq73bq",
  "venue": "Electronic Journal of Differential Equations",
  "versions": []
}